Two-thirds of the first number is equal to the cube of the second number. If…

To determine the sum of the first and second number, we can break the problem into clear, logical steps.

Step-by-Step Analysis
Find the Second Number:

The problem states the second number is 12% of 100.

Calculation: 0.12 × 100 = 12.

Find the First Number:

The problem states that two-thirds of the first number is equal to the cube of the second number.

First, find the cube of the second number (12): 12 × 12 × 12 = 1728.

Let the first number be x. The relationship is: (2/3)x = 1728.

To solve for x, multiply both sides by (3/2): x = 1728 × (3/2) = 864 × 3 = 2592.

Find the Sum:

Add the first number (2592) and the second number (12).

Sum = 2592 + 12 = 2604.

Correct Option
Option D: 2604